(With careful and succinct discussions of various topics ranging from the characterization of typical liquid crystalline (LC) phases, to the complexities surrounding LC defects under confinement, we're sure that this review will soon become known as one of the "go-to" manuals for both liquid crystal physicists, and chemists; those just beginning in the field, and veteran researchers alike.

In considering the long length of the article, we've carefully sub-sectioned the important works, advancements, and ongoing research contributing to how liquid crystals behave in each of the major curved configurations (i.e. droplets, shells, and fibers). This was done so that anyone interested in knowing more about a particular topic can easily find the right section without having to start reading from the very beginning. At the same time, we include a number of cross-references serving as reminders for the reader to review certain previously described concepts when necessary.

Finally, at the end of each configuration topic we conclude the sections by highlighting the latest research trends which the LC field has shown interest in — for LCs in droplets and shells, it ends with a discussion of active and motile LC systems (inspired by the flocking mechanism in many biological systems) and liquid crystal elastomer (LCE) actuating shells. For LCs in polymer fiber confinement, the section ends with a discussion on textile based gas responsive visual aids, and comparisons to current gas sensing systems.